… some basics of S-box, elliptic curve and modified Pascal’s triangle. In … S-box. In third section
we have results and analysis of proposed S-box and comparison with existing S-boxes. In …

… to construct our proposed Sbox. In section II we analyze our proposed S-box and compare
it with some standard S-boxes. In section III we use our Proposed S-box for image encryption. …

… arrays really are "extensions" of the Pascal triangle, with many similar … Pascal triangle
formed by the extended binomial coefficients of order m, while T, is the familiar Pascal triangle of …

… The law of formation for this trinomial case is clear (and also correct, as is easily verified
by doing the reduction described earlier): just generate the ordinary Pascal triangle down to …

… collation of the myriad results concerning Pascal triangles and their generalizations. We …
Obviously we get the ordinary Pascal triangle if we take the diagonals of the Pascal square (…

… In [1] and [2] we demonstrated how Pascal-like triangles arose from the … of Pascal's triangle.
In this article we show how Fibonaccilike sequences arise from our Pascal-like triangles, and …

… substitution boxes, also to evaluate the statistical and algebraic structure of S-boxes. In [6],
the … A novel approach for construction of S-box using modified Pascal’s triangle. International …

… We will study parts of Pascal’s explanation of the connections between the numbers in his
triangle and … From Pascal’s treatise we will also learn the principle of mathematical induction. …

… Pascal triangle modulo n. Actually, the most attention by far was given to the Pascal triangle
modulo 2, the Sierpiński triangle… in any row of the Pascal triangle is always a power of 2. For …

… in the S-box structure, this research proposes a systematic S-box design. “Proposed
Systematic S-box Application in Image Encryption” evaluates the performance of proposed …